Answer:
He had...
7 $20
2 $10
3 $5
Each locker is shaped like a rectangular prism.
One locker has more storage space by how many more cubic inches (in3)?
Answer:
60*12*10-48*12*15=7200-8640=-1440
The red locker has more storage space by 1440 cubic inches.
Step-by-step explanation:
The red locker has more storage space by 1440 cubic inches.
We have given that,
Each locker is shaped like a rectangular prism.
What is the formula for the area of a rectangular prism?
The area of rectangular prism = 2(lb + bh + lh)
One locker has more storage space by how many more cubic inches
=60*12*10-48*12*15
=7200-8640
=-1440
The red locker has more storage space by 1440 cubic inches.
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Question 5 of 10
A sample of 50 11th graders were asked to select a favorite pattern out of 6
choices. The following display shows what their favorite color patterns were.
The counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern.
35
23
B.
205
B
A. Graph A
B. Graph B
OC. Graph C
OD. Graph D
E. Graph E
PERSE
Color Pattern
Blue on gray
Green
D.
Pink polka dots
Purple
Red and orange
stripes
Yellow
These data can be graphically displayed as a bar graph. Which graph below
correctly displays the data from the list and the table?
Frequency
4
E
9
14
11
3
The bar graph that correctly displays the data from the list and the table is Graph D.
What is a bar graph?A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for.
You can plot the bars either vertically or horizontally.
Considering the data given:
Blue on gray - 3Green - 6Pink polka dots - 9Purple - 6Red and orange stripes - 4Yellow - 2The correct bar graph is D.
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Please help me with this I will give brainliest. Find the value of x. Round to the nearest tenth
Answer:
the second option
Step-by-step explanation:
\( \sin(20) = \frac{x}{18} \\ x = 6.15 = 6.2\)
find the total surface area of the following cone. leave your answer in terms of pi.
Answer:
90pi
Step-by-step explanation:
SA = pi r l +B
we know the radius is 5
We need to find the slant height using the Pythagorean theorem
a^2+b^2 = c^2
5^2+12^2 = l^2
25+144= l^2
169 = l^2
Taking the square root of each side
sqrt(169) = sqrt(l^2)
13 = l
B is the area of the base
B = pi r^2 = pi (5)^2 = 25 pi
SA = pi r l +B = pi (5)*13 + 25pi
=65pi +25pi = 90pi
Answer:
90 pi
Step-by-step explanation:
Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer
SA= 90
n June Gemma paid £68 for her electricity. In July she will pay 5% more for her electricity.
a sprinkler that sprays waiter in a circular area
Can you put more of the question
HELP MEEEEEEEEEEEEEE
Answer:
B
Step-by-step explanation:
after 0 it's 1 and 4 is after 5
evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
Answer:
4/45
Step-by-step explanation:
Fraction and find your lcm
The product of a rational and irrational number is ___ rational
Answer:
an irrational number unless the rational number is zero
Step-by-step explanation:
The only case when a product of a rational number times an irrational gives a rational number, is when the rational number is zero. Otherwise the product will always be irrational. The product of an irrational number that cannot be written as a quotient , times another one that can be expressed as a quotient will remain with the characteristic of not being able to be expressed as a quotient.
the products of a rational number and irrational number is irrational number
Rufus collected 18 pounds of
aluminum cans to recycle. He
plans to collect an additional 2
pounds each week. He wants to
collect a total of 42 pounds of
aluminum cans. Let x represent
the number of weeks Rufus
collects aluminum cans.
Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
If the tan V=4/3, what is the value of sec V
The value of sec(V) is 5/3
How to solve the trigonometry expression?The tangent is given as:
tan(V) = 4/3
To solve for sec(V), we use the following identity
sec^2(V) = tan^2(V) + 1
So, we have:
sec^2(V) = (4/3)^2 + 1
This gives
sec^2(V) = 16/9 + 1
Evaluate the sum
sec^2(V) = 25/9
Take the square root
sec(V) = 5/3
Hence, the value of sec(V) is 5/3
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What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
Which expression is equivalent to 4-10(9m-7)
Answer:
D
Step-by-step explanation:
4-90m+70
74-90m so
D
if my answer helps please mark as brainliest
The equivalent expressions is 74 - 90m.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
4-10(9m-7)
Now solving the expression
= 4-10(9m-7)
= 4- 90m + 70
= 74 - 90m
Hence, the equivalent expressions is 74 - 90m.
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If it is 2 o'clock and you take away 25 minutes, what time would it be?
Answer:
1:35
Step-by-step explanation:
Answer:
It will be 1:35
Step-by-step explanation:
2:00 - 25 = 1:35.
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
for such more question on Kevin's account
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The equation A = P(1 +rt) represents the formula to find the total amount owed on a loan, A, where P represents the principal amount borrowed, r is the rate of interest, and t is the time of period for which the loan is repaid.
Which of the following equations is equivalent in terms of P?
A P = A\ 1 + rt
B P = A + Art
C P = A - 1 - rt
D P = A + 1 + rt
Answer:
(A) P = A/1 + rt
Step-by-step explanation:
A = P(1 +rt)
Divide both sides by (1 + rt)
A/(1 + rt) = P
P = A/(1 + rt)
The correct equations which is equivalent in terms of P is,
P = A / (1 + rt)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation A = P(1 +rt) represents the formula to find the total amount owed on a loan, A,
where, P represents the principal amount borrowed, r is the rate of interest, and t is the time of period for which the loan is repaid.
Hence, We can simplify expression for P as;
A = P (1 + rt)
Divide both side by (1+rt);
A / (1 + rt) = P
P = A / (1 + rt)
Thus, The correct equations which is equivalent in terms of P is,
P = A / (1 + rt)
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5.7935 rounded to the nearest thousand
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
Rewrite the equation in standard form from vertex form: y = -4(x - 3)² + 6
The equation of the parabola, in standard form is ______________
y = -4x²+24x-30 is the standard form of parabola whose equation is y = -4(x - 3)² + 6
What is Parabola?Parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
The given equation is y = -4(x - 3)² + 6.
We need to write this equation as standard form of parabola.
the equation of a parabola in standard form is.
y=ax² +bx+c
The given equation should be expanded y = -4(x - 3)² + 6.
y = -4(x²+9-6x)+6
Now apply distributive property
y = -4x²-36+24x+6
y = -4x²+24x+6-36
y = -4x²+24x-30
Hence y = -4x²+24x-30 is the standard form of parabola whose equation is y = -4(x - 3)² + 6
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Mr. Hame is putting a new rectangular patio in his backyard. The patio will measure 16ft by 11ft. He is planning to put a brick border around the patio. how many feet of brick will he have for the border?
Answer:
Step-by-step explanation:
In this question u will be finding the perimeter in order to do you add 16 and 11 because they are the sides of the rectangle and multiply it by 3 which equal 54 feet
39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37
Answer: B
Step-by-step explanation:
Answer:
700 in^2
Step-by-step explanation:
If A = 225 in- when b = 18 in. and h = 25
225 = 18 * 25 / 2
a = 35 * 40 / 2
a = 700
Do 1. Lucas makes the statement: "The exterior angles of a triangle are always
obtuse." of the following, which provides a counterexample to the statement?
о
Right Triangle
&
Acute Triangle
Equilateral Triangle
о o
Isosceles Triangle
CLEAR ALL
The exterior angle to the 90 degree interior angle is 90 degrees because 90+90 = 180. So this exterior angle is not obtuse.
The equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.
What is an exterior angle?The angle is formed by a polygonal side and its extended neighboring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.
Equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.
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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?
The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201
Given that,
To complete the map diagram,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,
10th = 21
100th = 2001
For the value 17
17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,
Thus, The complete diagram map has been shown.
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The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate, the interest being calculated yearly? D 1800 cimple interest in 10 years. Find the The simple interest on a certain sum of money for 2 years at 5 % per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate , the interest being calculated yearly ? D 1800 cimple interest in 10 years . Find the
Answer:
Rs 328
Step-by-step explanation:
Find the principal amount invested.
Simple Interest Formula
I = Prt
where:
I = interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = Rs 320r = 5% = 0.05t = 2 yearsSubstitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
Compound Interest Formula
\(\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}\)
where:
I = interest earnedP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = 3200r = 5% = 0.05n = 1 (annually)t = 2 yearsSubstitute the given values into the formula and solve for I:
\(\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200\)
\(\implies \sf I=3200\left(1.05\right)^{2} -3200\)
\(\implies \sf I=3200\left(1.1025\right) -3200\)
\(\implies \sf I=3528-3200\)
\(\implies \sf I=328\)
Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.
How many 3/4 cup servings are in 10 cups
of juice? Use a model and an equation to
show your work.
(x)=4log(x+2) Which interval has the smallest average rate of change in the given function? 1≤x≤3 5≤x≤7 3≤x≤5 −1≤x≤1
Answer:
5≤x≤7
Step-by-step explanation:
For a given function f(x), the average rate of change in a given interval:
a ≤ x ≤ b
is given by:
\(r = \frac{f(b) - f(a)}{b - a}\)
Here we have:
f(x) = 4*log(x + 2)
And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.
1) 1≤x≤3
here we have:
\(r = \frac{f(3) - f(1)}{3 - 1} = \frac{4*log(3 + 2) - 4*log(1 + 2)}{2} = 0.44\)
2) 5≤x≤7
\(r = \frac{f(7) - f(5)}{7 - 5} = \frac{4*log(7 + 2) - 4*log(5 + 2)}{2} = 0.22\)
3) 3≤x≤5
\(r = \frac{f(5) - f(3)}{5 - 3} = \frac{4*log(5 + 2) - 4*log(3 + 2)}{2} = 0.29\)
4) −1≤x≤1
\(r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{4*log(1 + 2) - 4*log(-1 + 2)}{2} = 0.95\)
So we can see that the smalles average rate of change is in 5≤x≤7
28 minutes for 14 songs = minutes per song
Answer:
Two mins per song
Step-by-step explanation:
28 divided by 14 is 2
I hope this helps! God bless!
Write an equation that has a slope of 2 and goes through the point (2, 1).
Answer:
\(y=2x-3\)
Step-by-step explanation:
When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.
The point-slope form is:
\(y-y_1=m(x-x_1)\)
Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:
\(y-1=2(x-2)\)
Distribute the right:
\(y-1=2x-4\)
Add 1 to both sides:
\(y=2x-3\)
And that's our equation.
And we're done!
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Help please, Im stuck on a problem
Task:
Enter the function's domain, range, and end behavior.
f(x) = 600(0.55)^x
P.S. So it can be found on the internet.
Answer:
domain: {x | x ∈ R}
range: {y | y > 0}
As x approaches -∞, y approaches +∞
As x approaches ∞, y approaches 0
Step-by-step explanation:
Just to describe the function:
\(600(0.55)^{x}\)
600 is basically the y-intercept, 0.55 indicates that the function is decreasing
You have a horizontal asymptote on the y = 0 and the domain is (-∞, ∞)
the range is (0, ∞) because you have the horizontal asymptote at 0
About "x such that" notation, I am not sure but here it is:
domain: {x | x ∈ R}
range: {y | y > 0}
As x approaches -∞, y approaches +∞
As x approaches ∞, y approaches 0